10140061206600 has 576 divisors, whose sum is σ = 37903624012800. Its totient is φ = 2412474624000.

The previous prime is 10140061206581. The next prime is 10140061206703. The reversal of 10140061206600 is 660216004101.

10140061206600 is a `hidden beast` number, since 1 + 0 + 1 + 40 + 0 + 6 + 12 + 0 + 6 + 600 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 608602270 + ... + 608618930.

It is an arithmetic number, because the mean of its divisors is an integer number (65804902800).

Almost surely, 2^{10140061206600} is an apocalyptic number.

10140061206600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140061206600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18951812006400).

10140061206600 is an abundant number, since it is smaller than the sum of its proper divisors (27763562806200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10140061206600 is a wasteful number, since it uses less digits than its factorization.

10140061206600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17566 (or 17554 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10140061206600 in words is "ten trillion, one hundred forty billion, sixty-one million, two hundred six thousand, six hundred".